title: Spectral dynamics of incoherent waves with a noninstantaneous nonlinear response.
abstract: We study the influence of a constant background noise on the dynamics of spectral incoherent solitons, which are incoherent structures sustained by a noninstantaneous (Raman-like) nonlinearity. As the level of the noise background increases, the incoherent wave enters a novel nonlinear regime characterized by oscillatory dynamics of the incoherent spectrum, which develop within a spectral cone during the propagation. In contrast to the conventional Raman-like spectral red shift, such incoherent spectral dynamics can be characterized by a significant spectral blue shift. On the basis of the kinetic wave theory, we derive explicit analytical expressions of these incoherent oscillatory spectral dynamics.
authors.forename: Gang
authors.initials: G
authors.lastname: Xu
authors.forename: Josselin
authors.initials: J
authors.lastname: Garnier
authors.forename: Stefano
authors.initials: S
authors.lastname: Trillo
authors.forename: Antonio
authors.initials: A
authors.lastname: Picozzi